Non-negative Ollivier curvature on graphs, reverse Poincaré inequality, Buser inequality, Liouville property, Harnack inequality and eigenvalue estimates
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Publication:2111989
DOI10.1016/j.matpur.2022.12.007OpenAlexW2965452863MaRDI QIDQ2111989
Publication date: 17 January 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13514
Heat equation (35K05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Continuous-time Markov processes on discrete state spaces (60J27)
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- Volume growth, spectrum and stochastic completeness of infinite graphs
- Volume and diameter of a graph and Ollivier's Ricci curvature
- Exact and asymptotic results on coarse Ricci curvature of graphs
- Equivalent properties for CD inequalities on graphs with unbounded Laplacians
- Stochastic completeness for graphs with curvature dimension conditions
- Ricci curvature of graphs
- Ricci curvature of Markov chains on metric spaces
- Li-Yau inequality on finite graphs via non-linear curvature dimension conditions
- Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature
- Network alignment by discrete Ollivier-Ricci flow
- Bakry-Émery curvature and diameter bounds on graphs
- Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature
- Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs
- Ricci curvature and eigenvalue estimate on locally finite graphs
- Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
- Harnack inequalities for graphs with non-negative Ricci curvature
- Li-Yau inequality on graphs
- Ricci curvature on polyhedral surfaces via optimal transportation
- Curvature and transport inequalities for Markov chains in discrete spaces
- Ricci curvature of metric spaces
- Buser's inequality on infinite graphs
- Discrete Curvature and Abelian Groups
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Curvature aspects of graphs
- Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
- Ollivier--Ricci Idleness Functions of Graphs
- Curvature and Higher Order Buser Inequalities for the Graph Connection Laplacian
- A more rapidly mixing Markov chain for graph colorings
- Coupling and Applications
- Eigenvalue Ratios of Non-Negatively Curved Graphs
- Heat kernel and essential spectrum of infinite graphs
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